Properties of the Number 31278

Thirty-One Thousand Two Hundred Seventy-Eight

Basics

Value: 31277 → 31278 → 31279

Parity: even

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13 × 401

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 401, 802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000101110

Octal: 75056

Duodecimal: 16126

Hexadecimal: 7a2e

Square: 978313284

Square Root: 176.85587352417787

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n that cannot be partitioned into a set (or multiset) of sets with distinct sums. A381990

a(n) = (-4·n³ + 27·n² - 20·n + 3)/3. A161711

Triangle of coefficients of polynomials P(n; x) = Permanent(M), where M=[m(i,j)] is n X n matrix defined by m(i,j)=x if -1<=i-j<=1 else m(i,j)=1. A80018

Number of n-node unlabeled rooted trees with thinning limbs and root outdegree (branching factor) 4. A244705

Number of non-equivalent ways (mod D₂) to select 4 points from n equidistant points on a straight line so that no selected point is equally distant from two other selected points. A300761

Consecutive internal states of the linear congruential pseudo-random number generator (3877·s + 29573) mod 139968 when started at 1. A385459

a(n) = T(n,n+1), array T as in A047130. A47136

Number of (7+2) X (n+2) 0..1 arrays with every 3 X 3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254913

Maximal troughs in decimal expansions of π: positions of troughs equal to 8. A105276

Length of n-th run of digit 2 in A031269. A31278